Information on Result #790496
Digital (44, 74, 42)-net over F2, using trace code for nets based on digital (7, 37, 21)-net over F4, using
- net from sequence [i] based on digital (7, 20)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (44, 73, 42)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (44, 72, 42)-net over F2 | [i] | ||
| 3 | Digital (44, 71, 42)-net over F2 | [i] | ||
| 4 | Digital (122, 182, 70)-net over F2 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (125, 185, 72)-net over F2 | [i] | ||
| 6 | Digital (122, 183, 70)-net over F2 | [i] | ||
| 7 | Digital (125, 186, 72)-net over F2 | [i] | ||
| 8 | Linear OOA(274, 42, F2, 3, 30) (dual of [(42, 3), 52, 31]-NRT-code) | [i] | Extracting Embedded OOA | |
| 9 | Linear OOA(274, 42, F2, 4, 30) (dual of [(42, 4), 94, 31]-NRT-code) | [i] | ||
| 10 | Linear OOA(274, 42, F2, 5, 30) (dual of [(42, 5), 136, 31]-NRT-code) | [i] | ||
| 11 | Linear OOA(274, 42, F2, 6, 30) (dual of [(42, 6), 178, 31]-NRT-code) | [i] | ||
| 12 | Linear OOA(274, 42, F2, 7, 30) (dual of [(42, 7), 220, 31]-NRT-code) | [i] | ||
| 13 | Linear OOA(274, 42, F2, 8, 30) (dual of [(42, 8), 262, 31]-NRT-code) | [i] | ||